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Finding the Third Proportional to 331,314 and 441,417

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Solution

The third proportional to 331,314 and 441,417 is: 588,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314 : 441,417 = 441,417 : x
  2. Step 2: Convert to fraction form
    331,314/441,417 = 441,417/x
  3. Step 3: Cross multiply
    331,314x = 441,417 × 441,417
  4. Step 4: Simplify right side
    331,314x = 194,848,967,889
  5. Step 5: Solve for x
    x = 194,848,967,889/331,314
  6. Step 6: Final answer
    x = 588,109.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.